52935680 has 132 divisors (see below), whose sum is σ = 148415688. Its totient is φ = 18063360.

The previous prime is 52935679. The next prime is 52935689. The reversal of 52935680 is 8653925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52935689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250775 + ... + 250985.

Almost surely, 2^52935680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74207844).

52935680 is an abundant number, since it is smaller than the sum of its proper divisors (95480008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52935680 is a wasteful number, since it uses less digits than its factorization.

52935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 52935680 is about 7275.6910324724. The cubic root of 52935680 is about 375.4765615218.

The spelling of 52935680 in words is "fifty-two million, nine hundred thirty-five thousand, six hundred eighty".